2625947536 has 45 divisors (see below), whose sum is σ = 5328164401. Its totient is φ = 1253633216.

The previous prime is 2625947509. The next prime is 2625947537. The reversal of 2625947536 is 6357495262.

The square root of 2625947536 is 51244.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 230432400 + 2395515136 = 15180^2 + 48944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2625947536.

It is not an unprimeable number, because it can be changed into a prime (2625947537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4714170 + ... + 4714726.

Almost surely, 2^2625947536 is an apocalyptic number.

2625947536 is the 51244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625947536

2625947536 is an abundant number, since it is smaller than the sum of its proper divisors (2702216865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2625947536 is an frugal number, since it uses more digits than its factorization.

2625947536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 582 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

The cubic root of 2625947536 is about 1379.6280479047.

Multiplying 2625947536 by its sum of digits (49), we get a square (128671429264 = 358708²).

The spelling of 2625947536 in words is "two billion, six hundred twenty-five million, nine hundred forty-seven thousand, five hundred thirty-six".